MinT - Information on Result #1832462

Information on Result #1832462

OOA(128⁶⁸, 8388602, S₁₂₈, 2, 14), using (u,Â u+v)-construction based on

OOA(128²², 4194301, S₁₂₈, 2, 7), using
- OOA 2-folding [i] based on OA(128²², 8388602, S₁₂₈, 7), using
  - discarding factors based on OA(128²², large, S₁₂₈, 7), using
    - discarding parts of the base [i] based on linear OA(256¹⁹, large, F₂₅₆, 7) (dual of [large, large−19, 8]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
OOA(128⁴⁶, 4194301, S₁₂₈, 2, 14), using
- OOA 2-folding [i] based on OA(128⁴⁶, 8388602, S₁₂₈, 14), using
  - discarding factors based on OA(128⁴⁶, large, S₁₂₈, 14), using
    - discarding parts of the base [i] based on linear OA(256⁴⁰, large, F₂₅₆, 14) (dual of [large, large−40, 15]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

None.

The following results depend on this result:

	Result		Method
1	OOA(128⁷⁰, large, S₁₂₈, 2, 14)	[i]	NRT-Code Embedding in Larger Space
2	OOA(128⁷², large, S₁₂₈, 2, 14)	[i]
3	OOA(128⁷⁴, large, S₁₂₈, 2, 14)	[i]
4	OOA(128⁷⁶, large, S₁₂₈, 2, 14)	[i]
5	OOA(128⁷⁸, large, S₁₂₈, 2, 14)	[i]
6	OOA(128⁶⁹, 8388602, S₁₂₈, 2, 14)	[i]	OOA Duplication
7	OOA(128⁶⁸, 4194301, S₁₂₈, 3, 14)	[i]	OOA Folding
8	OOA(128⁶⁸, 4194301, S₁₂₈, 4, 14)	[i]	OOA Folding
9	OOA(128⁶⁸, 2097150, S₁₂₈, 18, 14)	[i]	OOA Folding and Stacking with Additional Row